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weeeeeb [17]
2 years ago
11

Is the point (5, -7) a solution to the equation Y > -2x + 3

Mathematics
1 answer:
nordsb [41]2 years ago
3 0
No,isn’t solution
-7>-2*5+3
-7>-7 wrong
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Find two integers whose sum is 10 and product is 9
Leviafan [203]

Answer:

let the numbers be x and y then by given conditions:

x + y = 10 ….. eq 1

and

xy = 9….. eq 2

from eq 2. y = 9/x

put this in eq. 1

x + 9/x = 10

x + 9= 10x

x = 1

now,

xy = 9put value of x

y = 9

Step-by-step explanation:

Hope it is helpful....

5 0
2 years ago
The football team has 2 large water containers. Each container holds 345π in3 of water. Each player is given a cylindrical water
raketka [301]

Answer:

They'll be able to get 34 bottles from the containers.

Step-by-step explanation:

Since the bottles are cylindrical we can calculate their volume by using the following formula:

V = base_area*h

V = \pi*(r^2)*h

r = d/2 = 4/2 = 2 inches

V = 3.14*(2^2)*5 = 3.14*4*5

V = 3.14*20 = 62.8 inches^3

In order to know how many full bottles the players will get we need to divide the total volume of the containers, which is given by the sum of the volume of each container, and divide it by the volume of each bottle. We have:

bottles = (345*pi + 345*pi)/62.8 = 690*pi/62.8 = 2,166.6/62.8 = 34.5

Since the problem wants the amount of full bottles we only take the integer part, so they will be able to get 34 bottles from the containers.

4 0
3 years ago
What is 9+10 pls help it too hard :( I give brainiest give me step by step explain
Svetllana [295]

Answer:

9+10=90

Step-by-step explanation:

10x9=90

I hope it helps:)

3 0
2 years ago
Read 2 more answers
The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) for Determine
salantis [7]

The question is incomplete. Here is the complete question.

The probability density function of the time to failure of an electronic component in a copier (in hours) is

                                              f(x)=\frac{e^{\frac{-x}{1000} }}{1000}

for x > 0. Determine the probability that

a. A component lasts more than 3000 hours before failure.

b. A componenet fails in the interval from 1000 to 2000 hours.

c. A component fails before 1000 hours.

d. Determine the number of hours at which 10% of all components have failed.

Answer: a. P(x>3000) = 0.5

              b. P(1000<x<2000) = 0.2325

              c. P(x<1000) = 0.6321

              d. 105.4 hours

Step-by-step explanation: <em>Probability Density Function</em> is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.

So, probability function is given by:

P(a<x<b) = \int\limits^b_a {P(x)} \, dx

Then, for the electronic component, probability will be:

P(a<x<b) = \int\limits^b_a {\frac{e^{\frac{-x}{1000} }}{1000} } \, dx

P(a<x<b) = \frac{1000}{1000}.e^{\frac{-x}{1000} }

P(a<x<b) = e^{\frac{-b}{1000} }-e^\frac{-a}{1000}

a. For a component to last more than 3000 hours:

P(3000<x<∞) = e^{\frac{-3000}{1000} }-e^\frac{-a}{1000}

Exponential equation to the infinity tends to zero, so:

P(3000<x<∞) = e^{-3}

P(3000<x<∞) = 0.05

There is a probability of 5% of a component to last more than 3000 hours.

b. Probability between 1000 and 2000 hours:

P(1000<x<2000) = e^{\frac{-2000}{1000} }-e^\frac{-1000}{1000}

P(1000<x<2000) = e^{-2}-e^{-1}

P(1000<x<2000) = 0.2325

There is a probability of 23.25% of failure in that interval.

c. Probability of failing between 0 and 1000 hours:

P(0<x<1000) = e^{\frac{-1000}{1000} }-e^\frac{-0}{1000}

P(0<x<1000) = e^{-1}-1

P(0<x<1000) = 0.6321

There is a probability of 63.21% of failing before 1000 hours.

d. P(x) = e^{\frac{-b}{1000} }-e^\frac{-a}{1000}

0.1 = 1-e^\frac{-x}{1000}

-e^{\frac{-x}{1000} }=-0.9

{\frac{-x}{1000} }=ln0.9

-x = -1000.ln(0.9)

x = 105.4

10% of the components will have failed at 105.4 hours.

5 0
3 years ago
A certain control heating process requires that the temperature be raised from − 23 ∘ C at the rate of 4 ∘ C every hour . Find t
Harrizon [31]

Answer:

Temperature after 12 hours = 25°C

Step-by-step explanation:

Given:

Current tempreture = -23°C

Tempreture incresing rate = 4°C per hour

Total time = 12 hour

Find:

Temperature after 12 hours

Computation:

Temperature after 12 hours = Current tempreture + (Tempreture incresing rate)(Total time)

Temperature after 12 hours = -23 + (4)(12)

Temperature after 12 hours = -23 + 48

Temperature after 12 hours = 25°C

5 0
3 years ago
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